A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu

0 vote

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

Asked on 2019-05-01 21:55:11 by Guest | Votes 0 | Views: 26 | Tags: time and work | quantitative aptitude | Add Bounty

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

1). 2/3
2). 1/3
3). 1/4
4). 1/5

Share on Facebook

Share on Whatsapp

Share on Twitter

1 answers

1 vote

Answered by Guest on 2019-05-01 22:05:43 | Votes 1 | #

We know that A, B can do job separately in 36, 12 days respectively.

Let the amount of work they do be W.

Amount of work done by A in 1 day = W/36

Amount of work done by B in 1 day = W/12

⇒ Total work done in 1 day = W/9

⇒ Total work done in 3 days = W/3

⇒ Remaining work left = W - W/3 = 2W/3

⇒ Fraction of work left = (2W/3) /W = 2/3

∴ Fraction of work left = 2/3

Join Telegram Group

Answer This Question
Name:
Email:
Answer :
Sum of (3+4)
Submit:

Other Questions

1. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in $\frac{1}{4}$ of a day ?

2. A cistern that would normally be filled in 6 hours is now taking 4 hours more because of a leak. In how much time, will the leak empty the cistern?

3. x does $\frac{1}{4}$ of a job in 6 days. y completes rest of the job in 12 days. Then x and y could ccomplete the job together in

4. If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day; how marry days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day?

5. A and B can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days then B worked for 10 days and the remaining job was finished by C in 15 days. In how many days could C alone have finished the whole job?

6. If 15 person can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

7. A, B & C can complete a piece of work in 24, 6 12 days. Respectively, working together, they will complete the same wok in -

8. P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

9. Grassin a field can completely feed 20 cows or 30 goats for a day. The same field is sufficient to feed 8 cows and 12 goats for

10. A cistern that would normally be filled in 6 hours is now taking 4 hours more because of a leak. In how much time, will the leak empty the cistern?

General Knowledge Questions

English Language and Comprehension